The following dissolved-oxygen values were found after 5 days of incubation in 310-mL BOD bottles: 7.7, 7.9, and 7.9 in three blank samples; 6.5, 4.0, and 0.5 mg/L in bottles containing 2, 5, and 10 mL of sample, respectively. The 0-day dissolved oxygen of the sample was 0.0 mg/L. What is the 5-day BOD of the sample?

Structural Analysis
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23.22 The following dissolved-oxygen values were found after 5 days of incubation in 310-mL BOD bottles: 7.7, 7.9, and 7.9 in three blank samples; 6.5, 4.0, and 0.5 mg/L in bottles containing 2, 5, and 10 mL of sample, respectively. The 0-day dissolved oxygen of the sample was 0.0 mg/L. What is the 5-day BOD of the sample? 

 

 

The 5-day Biochemical Oxygen Demand (BOD) of the given wastewater sample is calculated using the following equation:

\[ BOD_5 = (DO_{initial} - DO_{final}) \times \text{Dilution factor} \]

Where:
- **Dilution factor** = \(\frac{\text{volume of BOD bottle}}{\text{volume of wastewater}}\)
- \( DO_{initial} \) = Initial dissolved oxygen
- \( DO_{final} \) = Final dissolved oxygen

**Calculation of the Data for 5 days BOD using the above equation:**

1. Calculation 1:
   \[
   BOD_5 = (7.7 - 6.5) \times 155 
   \]
   \[
   BOD_5 = 186
   \]

2. Calculation 2:
   \[
   BOD_5 = (7.9 - 4) \times 62 
   \]
   \[
   BOD_5 = 241.8
   \]

3. Calculation 3:
   \[
   BOD_5 = (7.7 - 0.5) \times 31 
   \]
   \[
   BOD_5 = 229.4
   \]
Transcribed Image Text:The 5-day Biochemical Oxygen Demand (BOD) of the given wastewater sample is calculated using the following equation: \[ BOD_5 = (DO_{initial} - DO_{final}) \times \text{Dilution factor} \] Where: - **Dilution factor** = \(\frac{\text{volume of BOD bottle}}{\text{volume of wastewater}}\) - \( DO_{initial} \) = Initial dissolved oxygen - \( DO_{final} \) = Final dissolved oxygen **Calculation of the Data for 5 days BOD using the above equation:** 1. Calculation 1: \[ BOD_5 = (7.7 - 6.5) \times 155 \] \[ BOD_5 = 186 \] 2. Calculation 2: \[ BOD_5 = (7.9 - 4) \times 62 \] \[ BOD_5 = 241.8 \] 3. Calculation 3: \[ BOD_5 = (7.7 - 0.5) \times 31 \] \[ BOD_5 = 229.4 \]
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